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Algebra i logika, 2016, Volume 55, Number 2, Pages 219–256
DOI: https://doi.org/10.17377/alglog.2016.55.204 (Mi al738) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Equational conditions in universal algebraic geometry

P. Modabberi, M. Shahryari

Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Full-text PDF (273 kB) Citations (6)
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DOI: https://doi.org/10.17377/alglog.2016.55.204
Abstract: Different types of compactness in the Zariski topology are explored: for instance, being equational Noetherian, being equational Artinian, $q_\omega$- and $u_\omega$-compactness. Moreover, general results on the Zariski topology over algebras and groups are proved.
Keywords: algebraic structures, equations, algebraic sets, radical ideal, coordinate algebra, Zariski topology, equationally Noetherian algebras, $q_\omega$-compactness, $u_\omega$-compactness, metacompact algebras, metacompact spaces, equationally Artinian algebras, prevarieties, varieties, free algebras, equational domains, Hilbert's basis theorem.
Received: 31.01.2014
Revised: 03.10.2015
English version:
Algebra and Logic, 2016, Volume 55, Issue 2, Pages 146–172
DOI: https://doi.org/10.1007/s10469-016-9384-7
Bibliographic databases:
Document Type: Article
UDC: 512.54.0+512.57
Language: Russian
Citation: P. Modabberi, M. Shahryari, “Equational conditions in universal algebraic geometry”, Algebra Logika, 55:2 (2016), 219–256; Algebra and Logic, 55:2 (2016), 146–172
Citation in format AMSBIB
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\by P.~Modabberi, M.~Shahryari
\paper Equational conditions in universal algebraic geometry
\jour Algebra Logika
\yr 2016
\vol 55
\issue 2
\pages 219--256
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\crossref{https://doi.org/10.17377/alglog.2016.55.204}
\transl
\jour Algebra and Logic
\yr 2016
\vol 55
\issue 2
\pages 146--172
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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    Full-text PDF :40
    References:43
    First page:12
     
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